1
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int\limits_{ - \pi }^\pi {{{x\sin x} \over {1 + {{\cos }^2}x}}dx = } $$

A
$${{{\pi ^2}} \over 2}$$
B
$${\pi ^2}$$
C
$${{{\pi ^2}} \over 4}$$
D
$$3\pi $$
2
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $$\int\limits_0^1 {{{\tan }^{ - 1}}\left( {{{2x - 1} \over {1 + x - {x^2}}}} \right)dx} $$ is

A
2
B
$$-$$1
C
1
D
0
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int\limits_5^{10} \frac{d x}{(x-1)(x-2)}=$$

A
$$\log \left|\frac{27}{32}\right|$$
B
$$\log \left|\frac{3}{4}\right|$$
C
$$\log \left|\frac{8}{9}\right|$$
D
$$\log \left|\frac{32}{27}\right|$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{{\cos x} \over {1 + {e^x}}}dx = } $$

A
1
B
2
C
$$-$$1
D
0
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